If the expansion of  (1 + x)m(1 − x)n , the coefficients of  x  and  x2  are 3 and -6 respectively, then:

If the expansion of  (1 + x)m(1 − x)n , the coefficients of  x  and  x2  are 3 and -6 respectively, then:

Let f(x)=2x−x2,x∈R. If m and n are respectively the number of points at which the curves y=f(x) and y=f′(x) intersects the x-axis, then the value of m+n is

If x + 2  and x − 1 are the factors of x3 + 10x2 + mx + n, then the values of m and n are respectively

Let f(x)=∣∣2x2+5∣∣x|−3|,x∈R. If m and n denote the number of points where f is not continuous and not differentiable respectively, then m+n is equal to :

Let f(x)=(x+3)2(x−2)3,x∈[−4,4]. If M and m are the maximum and minimum values of f, respectively in [−4,4], then the value of M−m is :